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Course: Precalculus > Unit 6

Lesson 8: Adding vectors in magnitude and direction form
Math
Precalculus
Vectors
Adding vectors in magnitude and direction form
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Add vectors: magnitude & direction

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Problem

Here are vectors v→ and w→.
Vector v has magnitude 5 and direction angle 70 degrees. Vector w has magnitude 6 and direction angle 160 degrees.
Find the magnitude and direction angle (θ) of v→+w→.
Round your final answer to the nearest tenth. It's okay to round your intermediate calculations to the nearest hundredth.
||v→+w→||≈
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
θ≈
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
°